Your Friend Is Considering Adding One Additional Stock to a 3-Stock

question 141

Multiple Choice

Your friend is considering adding one additional stock to a 3-stock portfolio, to form a 4-stock portfolio.She is highly risk averse and has asked for your advice.The three stocks currently held all have b = 1.0, and they are perfectly positively correlated with the market.Potential new Stocks A and B both have expected returns of 15%, are in equilibrium, and are equally correlated with the market, with r = 0.75.However, Stock A's standard deviation of returns is 12% versus 8% for Stock B.Which stock should this investor add to his or her portfolio, or does the choice not matter?

• A) Stock A.
• B) Stock B.
• C) Neither A nor B, as neither has a return sufficient to compensate for risk.
• D) Add A, since its beta must be lower.
• E) Either A or B, i.e., the investor should be indifferent between the two.